Suppression of BoseEinstein condensation in onedimensional scalefree random potentials
Abstract
A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the oneparticle density of states. Here, we show that scalefree correlations in the random potential suppress the disorder induced BoseEinstein condensation (BEC). Within a tightbinding approach, we consider free Bosons moving in a scalefree correlated random potential with spectral density decaying as 1/k{sup {alpha}}. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential ({alpha}>1). On the other hand, a weaker suppression of BEC takes place in nonbinarized scalefree potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent {alpha}{yields}{infinity}.
 Authors:

 Instituto de Fisica, Universidade Federal de Alagoas, 57072970 Maceio, AL (Brazil)
 Publication Date:
 OSTI Identifier:
 21502867
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. B, Condensed Matter and Materials Physics
 Additional Journal Information:
 Journal Volume: 82; Journal Issue: 17; Other Information: DOI: 10.1103/PhysRevB.82.172201; (c) 2010 The American Physical Society; Journal ID: ISSN 10980121
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSEEINSTEIN CONDENSATION; BOSEEINSTEIN GAS; BOSONS; CHAINS; CONDENSATES; CORRELATIONS; CRITICAL TEMPERATURE; DENSITY; ONEDIMENSIONAL CALCULATIONS; PARTICLES; RANDOMNESS; SPECTRAL DENSITY; FUNCTIONS; PHYSICAL PROPERTIES; SPECTRAL FUNCTIONS; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE
Citation Formats
Oliveira, I N. de, Moura, F. A. B. F. de, Caetano, R A, and Lyra, M L. Suppression of BoseEinstein condensation in onedimensional scalefree random potentials. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVB.82.172201.
Oliveira, I N. de, Moura, F. A. B. F. de, Caetano, R A, & Lyra, M L. Suppression of BoseEinstein condensation in onedimensional scalefree random potentials. United States. https://doi.org/10.1103/PHYSREVB.82.172201
Oliveira, I N. de, Moura, F. A. B. F. de, Caetano, R A, and Lyra, M L. Mon .
"Suppression of BoseEinstein condensation in onedimensional scalefree random potentials". United States. https://doi.org/10.1103/PHYSREVB.82.172201.
@article{osti_21502867,
title = {Suppression of BoseEinstein condensation in onedimensional scalefree random potentials},
author = {Oliveira, I N. de and Moura, F. A. B. F. de and Caetano, R A and Lyra, M L},
abstractNote = {A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the oneparticle density of states. Here, we show that scalefree correlations in the random potential suppress the disorder induced BoseEinstein condensation (BEC). Within a tightbinding approach, we consider free Bosons moving in a scalefree correlated random potential with spectral density decaying as 1/k{sup {alpha}}. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential ({alpha}>1). On the other hand, a weaker suppression of BEC takes place in nonbinarized scalefree potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent {alpha}{yields}{infinity}.},
doi = {10.1103/PHYSREVB.82.172201},
url = {https://www.osti.gov/biblio/21502867},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {10980121},
number = 17,
volume = 82,
place = {United States},
year = {2010},
month = {11}
}